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Kelvin-Helmholtz 不稳定性(KHI)增长的动力学分析是一个活跃的研究领域. 本文解析研究了流体在横截面不同的直管道中流动时, 热传导对KHI的影响. 结果表明: 管道中上下流体的界面相对切向速度会随着波数的增加先增加后减小, 并且小的界面热传导系数导致相对切向速度随波数的减小更多, 不同于横截面相同的直管道结果. 另外, 热传导会提高KHI的增长率, 与横截面相同的直管道一致. 研究结果可以为实际管道中流体不稳定性的分析以及管道的通风设计和供暖等工程研究提供一定参考.
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关键词:
- Kelvin-Helmholtz不稳定性 /
- 热传导 /
- 界面热传导系数
We investigate analytically the effect of thermal conduction on the Kelvin-Helmholtz instability (KHI) in a straight pipe with different cross-sections. The results show that the relative tangential velocity of the interface between the upper and lower fluid in the pipe first increases and then decreases with the increase of the wave number. Furthermore, the smaller coefficient of interfacial heat conduction causes the relative tangential velocity to decrease considerably with the increase of the wave number, which is different from the behavior of the straight pipeline with the same cross-section. In addition, the heat conduction increases the growth rate of KHI, which is in accordance with the scenario of straight pipeline with the same cross-section.-
Keywords:
- Kelvin-Helmholtz instability /
- thermal conduction /
- coefficient of interfacial heat conduction
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图 1 两种不同横截面的直管道示意图
Fig. 1. Schematic diagram of a straight pipe with two different cross sections.
图 2 上下流体的界面相对切向速度与波数的关系
Fig. 2. Wavenumber dependence of the relative tangential velocity at the interface between upper and lower fluids.
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[1] Rayleigh L 1883 Proc. London Math. Soc. 14 170
Google Scholar
[2] Taylor G I 1950 Proc. R. Soc. London, Ser. A 201 192
Google Scholar
[3] Richtmyer R D 1960 Commun. Pure Appl. Math. 13 297
Google Scholar
[4] Meshkow E E 1969 Fluid Dyn. 4 101
Google Scholar
[5] [6] Helmholtz H 1868 Philos. Mag. Ser. 4 36 337
Google Scholar
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Google Scholar
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Google Scholar
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Google Scholar
Xia T J, Dong Y Q, Cao Y G 2013 Acta Phys. Sin. 62 114702
Google Scholar
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Wang L F, Ye W H, Li Y J 2008 Acta Phys. Sin 57 3038
Google Scholar
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Google Scholar
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Wang L F, Ye W H, Fan Z F, Sun Y Q, Zheng B S, Li Y J 2009 Acta Phys. Sin. 58 6381
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Google Scholar
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Google Scholar
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Google Scholar
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Google Scholar
[21] Barnea D, Taitel Y 1993 Int. J. Multiphase Flow 19 639
Google Scholar
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Google Scholar
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Google Scholar
[24] Xia T J, Wang H L, Dong Y Q, Guo H Z, Cao Y G 2015 Int. J. Heat Mass Transfer 84 158
Google Scholar
[25] Funada T, Joseph D D 2001 J. Fluid Mech. 445 263
Google Scholar
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Google Scholar
[27] 谢海英 2013 水资源与水工程学报 24 152
Google Scholar
Xie H Y 2013 J. Water Resour. Water Eng. 24 152
Google Scholar
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